Information on Result #1576837
Linear OOA(8172, 153, F8, 3, 112) (dual of [(153, 3), 287, 113]-NRT-code), using construction X applied to AG(3;F,316P) ⊂ AG(3;F,331P) based on
- linear OOA(8157, 143, F8, 3, 112) (dual of [(143, 3), 272, 113]-NRT-code), using algebraic-geometric NRT-code AG(3;F,316P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- linear OOA(8142, 143, F8, 3, 97) (dual of [(143, 3), 287, 98]-NRT-code), using algebraic-geometric NRT-code AG(3;F,331P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144 (see above)
- linear OOA(815, 10, F8, 3, 14) (dual of [(10, 3), 15, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 3, 14) (dual of [(14, 3), 27, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,27P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 3, 14) (dual of [(14, 3), 27, 15]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8172, 153, F8, 3, 111) (dual of [(153, 3), 287, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |